{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "5d904dee",
   "metadata": {},
   "source": [
    "# Example 8: KANs' Scaling Laws"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "6465ec94",
   "metadata": {},
   "source": [
    "In this example, we show KAN's scaling laws (wrt model params and data size)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "a1c25e8a",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "data_size=100\n",
      "grid_size=5\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "train loss: 5.45e-03 | test loss: 7.44e-03 | reg: 0.00e+00 : 100%|██| 50/50 [00:07<00:00,  6.28it/s]\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "grid_size=10\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "train loss: 2.33e-04 | test loss: 1.38e-03 | reg: 0.00e+00 : 100%|██| 50/50 [00:04<00:00, 11.46it/s]\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "grid_size=20\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "train loss: 3.80e-05 | test loss: 7.60e-03 | reg: 0.00e+00 : 100%|██| 50/50 [00:03<00:00, 15.35it/s]\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "grid_size=50\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "train loss: 5.61e-01 | test loss: 1.51e+00 | reg: 0.00e+00 : 100%|██| 50/50 [00:07<00:00,  6.91it/s]\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "grid_size=100\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "train loss: 7.86e-02 | test loss: 1.19e+00 | reg: 0.00e+00 : 100%|██| 50/50 [00:07<00:00,  6.87it/s]\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "data_size=300\n",
      "grid_size=5\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "train loss: 5.68e-03 | test loss: 6.18e-03 | reg: 0.00e+00 : 100%|██| 50/50 [00:04<00:00, 12.46it/s]\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "grid_size=10\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "train loss: 2.85e-04 | test loss: 3.33e-04 | reg: 0.00e+00 : 100%|██| 50/50 [00:04<00:00, 11.53it/s]\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "grid_size=20\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "train loss: 2.33e-05 | test loss: 3.69e-04 | reg: 0.00e+00 : 100%|██| 50/50 [00:04<00:00, 12.46it/s]\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "grid_size=50\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "train loss: 3.59e-06 | test loss: 4.51e-03 | reg: 0.00e+00 : 100%|██| 50/50 [00:07<00:00,  6.43it/s]\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "grid_size=100\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "train loss: 3.19e-06 | test loss: 3.36e-02 | reg: 0.00e+00 : 100%|██| 50/50 [00:08<00:00,  6.25it/s]\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "data_size=1000\n",
      "grid_size=5\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "train loss: 6.09e-03 | test loss: 6.24e-03 | reg: 0.00e+00 : 100%|██| 50/50 [00:06<00:00,  8.19it/s]\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "grid_size=10\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "train loss: 2.75e-04 | test loss: 3.09e-04 | reg: 0.00e+00 : 100%|██| 50/50 [00:05<00:00,  9.25it/s]\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "grid_size=20\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "train loss: 1.70e-05 | test loss: 2.00e-05 | reg: 0.00e+00 : 100%|██| 50/50 [00:07<00:00,  6.64it/s]\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "grid_size=50\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "train loss: 1.42e-06 | test loss: 1.63e-06 | reg: 0.00e+00 : 100%|██| 50/50 [00:12<00:00,  4.10it/s]\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "grid_size=100\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "train loss: 9.83e-07 | test loss: 1.61e-06 | reg: 0.00e+00 : 100%|██| 50/50 [00:10<00:00,  4.91it/s]\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "data_size=3000\n",
      "grid_size=5\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "train loss: 6.09e-03 | test loss: 6.01e-03 | reg: 0.00e+00 : 100%|██| 50/50 [00:13<00:00,  3.62it/s]\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "grid_size=10\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "train loss: 3.09e-04 | test loss: 3.20e-04 | reg: 0.00e+00 : 100%|██| 50/50 [00:22<00:00,  2.20it/s]\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "grid_size=20\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "train loss: 1.76e-05 | test loss: 1.92e-05 | reg: 0.00e+00 : 100%|██| 50/50 [00:22<00:00,  2.20it/s]\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "grid_size=50\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "train loss: 1.41e-06 | test loss: 8.81e-05 | reg: 0.00e+00 : 100%|██| 50/50 [00:40<00:00,  1.22it/s]\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "grid_size=100\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "train loss: 1.29e-06 | test loss: 6.64e-04 | reg: 0.00e+00 : 100%|██| 50/50 [00:31<00:00,  1.56it/s]\n"
     ]
    }
   ],
   "source": [
    "from kan import *\n",
    "\n",
    "# initialize KAN with G=3\n",
    "model = KAN(width=[2,1,1], grid=3, k=3)\n",
    "\n",
    "data_sizes = np.array([100,300,1000,3000])\n",
    "grids = np.array([5,10,20,50,100])\n",
    "\n",
    "train_losses = np.zeros((data_sizes.shape[0], grids.shape[0]))\n",
    "test_losses = np.zeros((data_sizes.shape[0], grids.shape[0]))\n",
    "steps = 50\n",
    "k = 3\n",
    "\n",
    "for j in range(data_sizes.shape[0]):\n",
    "    data_size = data_sizes[j]\n",
    "    print(f'data_size={data_size}')\n",
    "    # create dataset\n",
    "    f = lambda x: torch.exp(torch.sin(torch.pi*x[:,[0]]) + x[:,[1]]**2)\n",
    "    dataset = create_dataset(f, n_var=2, train_num=data_size)\n",
    "    \n",
    "    for i in range(grids.shape[0]):\n",
    "        print(f'grid_size={grids[i]}')\n",
    "        if i == 0:\n",
    "            model = KAN(width=[2,1,1], grid=grids[i], k=k)\n",
    "            model.speed()\n",
    "        if i != 0:\n",
    "            model.save_plot_data = True\n",
    "            model.get_act(dataset)\n",
    "            model = model.refine(grids[i])\n",
    "            model.speed()\n",
    "        results = model.fit(dataset, opt=\"LBFGS\", steps=steps, stop_grid_update_step = 30)\n",
    "        train_losses[j][i] = results['train_loss'][-1]\n",
    "        test_losses[j][i] = results['test_loss'][-1]\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "6be8ba55",
   "metadata": {},
   "source": [
    "Fix data size, study model (grid) size scaling. Roughly display $N^{-4}$ scaling."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "e05289dd",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0.5, 0, 'grid size')"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "for i in range(data_sizes.shape[0]):\n",
    "    plt.plot(grids, train_losses[i,:], marker=\"o\")\n",
    "plt.xscale('log')\n",
    "plt.yscale('log')\n",
    "plt.plot(np.array([5,100]), 0.1*np.array([3,100])**(-4.), ls=\"--\", color=\"black\")\n",
    "plt.legend([f'data={data_sizes[i]}' for i in range(data_sizes.shape[0])]+[r'$N^{-4}$'])\n",
    "plt.ylabel('train RMSE')\n",
    "plt.xlabel('grid size')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "6d15cc9e",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0.5, 0, 'grid size')"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "for i in range(data_sizes.shape[0]):\n",
    "    plt.plot(grids, test_losses[i,:], marker=\"o\")\n",
    "plt.xscale('log')\n",
    "plt.yscale('log')\n",
    "plt.plot(np.array([5,100]), 0.1*np.array([3,100])**(-4.), ls=\"--\", color=\"black\")\n",
    "plt.legend([f'data={data_sizes[i]}' for i in range(data_sizes.shape[0])]+[r'$N^{-4}$'])\n",
    "plt.ylabel('test RMSE')\n",
    "plt.xlabel('grid size')"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "18bcedfe",
   "metadata": {},
   "source": [
    "Fix model (grid) size, study data size scaling. No clear power law scaling. But we observe that: (1) increasing data size has no harm to performance. (2) powerful model (larger grid size) can benefit more from data size increase. Ideally one would want to increase data size and model size together so that their complexity always match."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "0dd85c41",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0.5, 0, 'data size')"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "for i in range(grids.shape[0]):\n",
    "    plt.plot(data_sizes, train_losses[:,i], marker=\"o\")\n",
    "plt.xscale('log')\n",
    "plt.yscale('log')\n",
    "plt.plot(np.array([100,3000]), 1e8*np.array([100,3000])**(-4.), ls=\"--\", color=\"black\")\n",
    "plt.legend([f'grid={grids[i]}' for i in range(grids.shape[0])]+[r'$N^{-4}$'])\n",
    "plt.ylabel('train RMSE')\n",
    "plt.xlabel('data size')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "107801f6",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0.5, 0, 'data size')"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "for i in range(grids.shape[0]):\n",
    "    plt.plot(data_sizes, test_losses[:,i], marker=\"o\")\n",
    "plt.xscale('log')\n",
    "plt.yscale('log')\n",
    "plt.plot(np.array([100,3000]), 1e5*np.array([100,3000])**(-4.), ls=\"--\", color=\"black\")\n",
    "plt.legend([f'grid={grids[i]}' for i in range(grids.shape[0])]+[r'$N^{-4}$'])\n",
    "plt.ylabel('test RMSE')\n",
    "plt.xlabel('data size')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "47bdf5af",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
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